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Finding the Third Proportional to 21,168 and 40,416

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Solution

The third proportional to 21,168 and 40,416 is: 77,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,168 : 40,416 = 40,416 : x
  2. Step 2: Convert to fraction form
    21,168/40,416 = 40,416/x
  3. Step 3: Cross multiply
    21,168x = 40,416 × 40,416
  4. Step 4: Simplify right side
    21,168x = 1,633,453,056
  5. Step 5: Solve for x
    x = 1,633,453,056/21,168
  6. Step 6: Final answer
    x = 77,166.15

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.